International Mathematical Series

Sobolev Spaces in Mathematics II

Applications in Analysis and Partial Differential Equations

Editors: Maz'ya, Vladimir (Ed.)

  • Presentation of new results on the latest topics of the theory of Sobolev spaces, partial differential equations, analysis and mathematical physics
  • The authors and editors are world-renowned specialists, working in different countries
  • Publication on the centenary of Sobolev’s birth with two short biographical articles and unique archive photos of S. Sobolev which have not yet been published in the English-language literature
see more benefits

Buy this book

eBook $199.00
price for USA (gross)
  • ISBN 978-0-387-85650-6
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $259.00
price for USA
  • ISBN 978-0-387-85649-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $259.00
price for USA
  • ISBN 978-1-4419-2758-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

Sobolev spaces become the established and universal language of partial differential equations and mathematical analysis. Among a huge variety of problems where Sobolev spaces are used, the following important topics are in the focus of this volume: boundary value problems in domains with singularities, higher order partial differential equations, local polynomial approximations, inequalities in Sobolev-Lorentz spaces, function spaces in cellular domains, the spectrum of a Schrodinger operator with negative potential and other spectral problems, criteria for the complete integrability of systems of differential equations with applications to differential geometry, some aspects of differential forms on Riemannian manifolds related to Sobolev inequalities, Brownian motion on a Cartan-Hadamard manifold, etc. Two short biographical articles on the works of Sobolev in the 1930's and foundation of Akademgorodok in Siberia, supplied with unique archive photos of S. Sobolev are included.

Contributors include: Vasilii Babich (Russia); Yuri Reshetnyak (Russia); Hiroaki Aikawa (Japan); Yuri Brudnyi (Israel); Victor Burenkov (Italy) and Pier Domenico Lamberti (Italy); Serban Costea (Canada) and Vladimir Maz'ya (USA-UK-Sweden); Stephan Dahlke (Germany) and Winfried Sickel (Germany); Victor Galaktionov (UK), Enzo Mitidieri (Italy), and Stanislav Pokhozhaev (Russia); Vladimir Gol'dshtein (Israel) and Marc Troyanov (Switzerland); Alexander Grigor'yan (Germany) and Elton Hsu (USA); Tunde Jakab (USA), Irina Mitrea (USA), and Marius Mitrea (USA); Sergey Nazarov (Russia); Grigori Rozenblum (Sweden) and Michael Solomyak (Israel); Hans Triebel (Germany)

Table of contents (15 chapters)

  • On the Mathematical Works of S.L. Sobolev in the 1930s

    Babich, Vasilii

    Pages 1-9

  • Sobolev in Siberia

    Reshetnyak, Yuri

    Pages 11-17

  • Boundary Harnack Principle and the Quasihyperbolic Boundary Condition

    Aikawa, Hiroaki

    Pages 19-30

  • Sobolev Spaces and their Relatives: Local Polynomial Approximation Approach

    Brudnyi, Yuri

    Pages 31-68

  • Spectral Stability of Higher Order Uniformly Elliptic Operators

    Burenkov, Victor (et al.)

    Pages 69-102

Buy this book

eBook $199.00
price for USA (gross)
  • ISBN 978-0-387-85650-6
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $259.00
price for USA
  • ISBN 978-0-387-85649-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $259.00
price for USA
  • ISBN 978-1-4419-2758-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Loading...

Recommended for you

Loading...

Bibliographic Information

Bibliographic Information
Book Title
Sobolev Spaces in Mathematics II
Book Subtitle
Applications in Analysis and Partial Differential Equations
Editors
  • Vladimir Maz'ya
Series Title
International Mathematical Series
Series Volume
9
Copyright
2009
Publisher
Springer-Verlag New York
Copyright Holder
Springer-Verlag New York
eBook ISBN
978-0-387-85650-6
DOI
10.1007/978-0-387-85650-6
Hardcover ISBN
978-0-387-85649-0
Softcover ISBN
978-1-4419-2758-3
Series ISSN
1571-5485
Edition Number
1
Number of Pages
XXX, 388
Additional Information
Jointly published with Tamara Rozhkovskaya Publisher, Novosibirsk, Russia
Topics